ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS (Series on Analysis, Applications and Computation): 5 - Image 1

£64.63

World Scientific Publishing Company ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS (Series on Analysis, Applications and Computation): 5

Name: ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS (Series on Analysis, Applications and Computation): 5
Brand: World Scientific Publishing Company
Price: 64.63 GBP
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Functional Analysis

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Description

Review This book is a rich and valuable source of information on asymptotic analysis in the context of generalized functions. --Mathscinet Product Description The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are those of Vladimirov, Drozhinov and Zavyalov, and that of Kanwal and Estrada. The first approach is followed by the authors of this book and extended in the direction of the S-asymptotics. The second approach - of Estrada, Kanwal and Vindas - is related to moment asymptotic expansions of generalized functions and the Ces'aro behavior. The main features of this book are the uses of strong methods of functional analysis and applications to the analysis of asymptotic behavior of solutions to partial differential equations, Abelian and Tauberian type theorems for integral transforms as well as for the summability of Fourier series and integrals. The book can be used by applied mathematicians, physicists, engineers and others who use classical asymptotic methods and wish to consider non-classical objects (generalized functions) and their asymptotics now in a more advanced setting. From the Back Cover The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are those of Vladimirov, Drozhinov and Zavyalov, and that of Kanwal and Estrada. The first approach is followed by the authors of this book and extended in the direction of the S-asymptotics. The second approach of Estrada, Kanwal and Vindas is related to moment asymptotic expansions of generalized functions and the Ces'aro behavior. The main features of this book are the uses of strong methods of functional analysis and applications to the analysis of asymptotic behavior of solutions to partial differential equations, Abelian and Tauberian type theorems for integral transforms as well as for the summability of Fourier series and integrals. The book can be used by applied mathematicians, physicists, engineers and others who use classical asymptotic methods and wish to consider non-classical objects (generalized functions) and their asymptotics now in a more advanced setting.

Product Specifications

Brand: World Scientific Publishing Company
Format: hardcover
ASIN: 9814366846
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 14 December 2011
Listed Since: 12 July 2011

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World Scientific Publishing Company ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS (Series on Analysis, Applications and Computation): 5

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